2120400000 has 576 divisors, whose sum is σ = 8286969600. Its totient is φ = 518400000.

The previous prime is 2120399951. The next prime is 2120400011. The reversal of 2120400000 is 40212.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68399985 + ... + 68400015.

It is an arithmetic number, because the mean of its divisors is an integer number (14387100).

Almost surely, 2^2120400000 is an apocalyptic number.

2120400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143484800).

2120400000 is an abundant number, since it is smaller than the sum of its proper divisors (6166569600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120400000 is an equidigital number, since it uses as much as digits as its factorization.

2120400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2120400000 is about 46047.8012504397. The cubic root of 2120400000 is about 1284.7124470755.

Adding to 2120400000 its reverse (40212), we get a palindrome (2120440212).

The spelling of 2120400000 in words is "two billion, one hundred twenty million, four hundred thousand".